{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$P(A\\mid B) = \\frac{P(B\\mid A)P(A)}{P(B)}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$z = \\left(\\frac{dx}{dy}\\right)^{1/3}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$f'(a) = \\lim_{x \\to a} \\frac{f(x) - f(a)}{x-a}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\\begin{bmatrix} 1 & 2 & -1 \\\\ 3 & 0 & 1 \\\\ 0 & 2 & 4 \\end{bmatrix}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\mathbf{J}\n",
    "=\n",
    "\\frac{d \\mathbf{f}}{d \\mathbf{x}}\n",
    "=\n",
    "\\left[ \\frac{\\partial \\mathbf{f}}{\\partial x_1}\n",
    "\\cdots \\frac{\\partial \\mathbf{f}}{\\partial x_n} \\right]\n",
    "=\n",
    "\\begin{bmatrix}\n",
    "\\frac{\\partial f_1}{\\partial x_1} & \\cdots &\n",
    "\\frac{\\partial f_1}{\\partial x_n} \\\\\n",
    "\\vdots & \\ddots & \\vdots \\\\\n",
    "\\frac{\\partial f_m}{\\partial x_1} & \\cdots &\n",
    "\\frac{\\partial f_m}{\\partial x_n}\n",
    "\\end{bmatrix}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$e^x = \\sum_{k=0}^{\\infty} \\frac{x^k}{k!}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$e^x = \\sum_{k=0}^{\\infty} \\frac{x^k}{k!}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\mathscr{Z}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$f'(a) = \\int_a^b$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "a_1 = b_1 + c_1 \\\\\n",
    "a_2 = b_2 + c_2 + d_2\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
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 "nbformat": 4,
 "nbformat_minor": 2
}
